{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Programming Exercise 1 - Linear Regression\n",
    "\n",
    "- [warmUpExercise](#warmUpExercise)\n",
    "- [Linear regression with one variable](#Linear-regression-with-one-variable)\n",
    "- [Gradient Descent](#Gradient-Descent)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# %load ../../standard_import.txt\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from mpl_toolkits.mplot3d import axes3d\n",
    "\n",
    "pd.set_option('display.notebook_repr_html', False)\n",
    "pd.set_option('display.max_columns', None)\n",
    "pd.set_option('display.max_rows', 150)\n",
    "pd.set_option('display.max_seq_items', None)\n",
    " \n",
    "#%config InlineBackend.figure_formats = {'pdf',}\n",
    "%matplotlib inline  \n",
    "\n",
    "import seaborn as sns\n",
    "sns.set_context('notebook')\n",
    "sns.set_style('white')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### warmUpExercise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def warmUpExercise():\n",
    "    return(np.identity(5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.,  0.,  0.,  0.,  0.],\n",
       "       [ 0.,  1.,  0.,  0.,  0.],\n",
       "       [ 0.,  0.,  1.,  0.,  0.],\n",
       "       [ 0.,  0.,  0.,  1.,  0.],\n",
       "       [ 0.,  0.,  0.,  0.,  1.]])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "warmUpExercise()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Linear regression with one variable"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "data = np.loadtxt('data/ex1data1.txt', delimiter=',')\n",
    "\n",
    "X = np.c_[np.ones(data.shape[0]),data[:,0]]\n",
    "y = np.c_[data[:,1]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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akydPbjbkAQBA5DXbpZ4+fXrdTPSVK1fqm2++UUJCgmbNmmVJ4wAAgH9+Q/zTTz9VWVmZ\nysvL9emnn+q9995TZmamhgwZovLycn322Wf67LPPrGwr2hJf68lZY9728XMHwirgye2amhodPXpU\nLpdLXbt2lSSdd955ksRuZrGupX+Qqf0dm/i5A2Hn95z4wIEDdd111+kPf/iDTp06pVtuuUXXXXed\nTp06pQ4dOui6666zsp3wsHP3Ku/X8fxBfuopKS3NPFZaGtxaZWp/xyZ+7kDYNTux7fHHH1dBQYHa\nt2+vrKwsSdKhQ4f061//2pLGoRFPcD77bH2Rj2CDM9yvHR8vjRkjZWRIW7aY10P5g+xd+1syK49R\nbazt4+cOhFWzId6+fXvdcccdDY797Gc/089+9rOINgp+2NmT8fXaTz0lLV4spaeb1/mDDACWajbE\nEYXs7Mn4eu2WovZ3bOLnDoQVVVvQcjt3tmw7UnZBi0383IGwoyfuNHb2ZLxf2+02z4cvXhz6JhzU\n/o5N/NyBsAsqxE+ePKny8nK5vT4t9+rVK2KNgh927l7l67W3bJHmzZOmTjVfO5Q/yNT+jk383IGw\nChjia9eu1QsvvKCuXbvK5XJJklwul4qLiyPeODRiZ0/G12unpdXPVPe+HwDAEgFD/A9/+IPefvtt\nde/e3Yr2IBA7ezL0ogAgqgSc2JaSkkKAAwAQhQL2xG+44QY9//zzuvnmm3XuuefWHeecOAAA9goY\n4ps2bZIkbdmype4Y58QBALBfwBD/61//akU7AABAiPyG+JkzZ9S+fXudPHnS5+3nn39+xBoFAAAC\n8xvid9xxhwoKCtSvXz+5XK4G2466XC7t2bPHkgYCAADf/IZ4QUGBJOmrr76yrDEAgmTnlrQAooYl\ntdPnzp2rG264QZmZmXXHjh07pnvuuUc33nijJk2apOPHj1vRFMD5PNvCetepLy01j1GDHIgploR4\nbm6ufv/73zc4tnr1ag0ePFjvvfeeBg0apFdeecWKpgDO570tbGlpfU37Z5+lJw7EGEtCfMCAAerc\nuXODY8XFxcrJyZEk5eTkqKioyIqmAG2D97awI0awnScQowKG+L59+4I6FqqqqiolJydLMqvCVVVV\ntfo5AQCIJQFDfMaMGUEday3P5ioAguC9LWwoe7kDaFP8zk6vqqpSVVWVTp8+rX379tUtMTt+/LhO\nnDjR6hdOSkrSkSNHlJycrIqKCiUmJrb6OYGYYOeWtACiit8Q37x5s1577TUdPnxYkydPrjveqVMn\n3XvvvSG/kPc6c0kaOXKkNm7cqClTpqigoEBpaWkhPycQk+zckhZAVPEb4hMmTNCECRO0atUq3Xff\nfa16kenTp2v79u06evSohg8frqlTp2rKlCl66KGH9Oc//1ndu3fXsmXLWvUaQExhW1gACqLs6oQJ\nE3yWXg2l7OqSJUt8Hl+zZk3QzxEVKLABAIgifie23XHHHZKkfv366dprr1W/fv3qvq699lrLGhg1\nKLABp/P1/5T/u4Cj+e2Jv/jii5Iou1rHu8DGm2+axzyX6Ykj2nk+hD77bP1kuNJSJsMBDue3Jz59\n+nRJ5rlx/IgCG3AqqrwBbZLfnvipU6f03nvvqaysTB988EGT23/5y19GtGEAwsz7Q6hkri/nQyjg\naH5D/JFHHtH69etVWVmpV199tcFtLpcrNkPcu8CGVD+czh9CAIAN/IZ4enq60tPT9cwzz2jOnDlW\ntik6UWADTseHUKDN8RviHnPmzNG///1vffHFF5Kkq6++Wj/5yU8i3rCoQ4ENOBkfQoE2KWCIb926\nVTNnztSVV14pwzD09ddfa/HixRoyZIgV7YsuFNiAU/EhFGiTAob40qVLtXbtWvXs2VOSuYPZzJkz\nYzPEASfjQyjQ5gTcxaympqYuwCWpZ8+eqqmpiWijAEejqAoAiwQM8cTERG3cuLHuekFBATuOAf5Q\n2Q+AhQIOpy9cuFAzZszQ448/LklKTU3VCy+8EOl2AS1jd317KvsBsFCzIV5bW6sTJ05ow4YNqq6u\nliQlJCRY0jAgZNFSWpSiKgAs0uxwelxcnGbOnCnJDG8CHLYJ5jwzpUUBxJiA58Qvu+wyHThwwIq2\nAL6Fcp45GurbexdVKSmp/1ABAGEW8Jx4dXW1br31VvXv318dOnSoO/673/0uog0D6jjpPDNFVQBY\nKGCI33rrrbr11lutaIvz2T2pKtLsfH/Bnme2u7QoRVUAWKjZED969Kguv/xy/fSnP1XHjh2tapMz\nRcukqkhxwvsLRy84HB9UKKoCwCJ+z4n/5S9/0S9/+UtNmTJFw4cP19/+9jcr2+U8bX1Sld3vL5jz\nzJ5esHevO5ReMGu8ATiM3574yy+/rHXr1ik1NVXbtm3TSy+9pMGDB1vZNmdxu5sO+RYVta2lReFa\nOhVqbzeUHnZresFOOvcOAGqmJx4XF6fU1FRJ0vXXX68ffvjBskY5jq8enCRNnWp/D87f0iy7SoO2\npLcbTA/b+7Gey76OBRINs9sBIEh+Q/zs2bPat2+f9u7dq7179+r06dMNrsOLpweXlSVlZ0tLl0qd\nO0sHD0pbtzb/2EiGqb/AvOEG8yvUYeNwLJ1q6bB8cz1s7/fpubxsWf37YUgcQFtl+DFixAi/XyNH\njvT3sIjav3+/0bt3b2P//v22vH6zamoMIzXVMCTzq6TE/Bo0yLzN32MGDTLv5xHoMaEqKTGM5OT6\n9gS63Lh9jdtaVBSetpaUNPxetZb3e1i61DBcLvNff+8tmOcJ9bEAEGaBcs9viEejqA5xwzADrnEw\nBQo4K0LDX2A2F6S+PmAUFTUN7ZZ+2Ah3iDd+zqVLQ39+Kz5UAUAIAuVewHXiCFJpqTRmTOjrk6O1\nzravSV5jxjSd5NWSCV92r+X2hzXeAByGEA+HaK7S5S8wPZebC9JIfMCI1PfK+33u3Ck98og5N+Ga\na0L7kMAabwBOYvHIQKtE9XC6r+HWYIZgvYfQi4qaDqe3ZhjX3/DwwIHmVzDDxpEY9m7p96q55/O8\nT8/lpUvr3w9D4gAcKlDuuQzDMOz+IBGsAwcOKC0tTcXFxerRo4fdzWk97ypoQ4eal8eMkdatM3ul\nW7e2vofqb022FHittqd323jNtN3D3r54t91z2dcxAHCQQLnHcLqdGp+D9ZyDXrfODPBwFBoJZXjY\n+3g0nyLwxdd5+taeuweAKEeI271pSeNJVNEyyc37A4bn++E9yYueLQDYLuB+4m0atbKb5wlr7+9R\nfDzfIwCIErHdE7erVra/3r9nCD2all5Z+T2ye1QEABwmtnvikvW1sj092+Li+mPFxWYZ1Fmz6l9/\n6ND6c9CNe7xW1z234nvUlkZF7KpLDyDmEOJWi4+XFi2SMjLM+t7Fxebla6+VXC4zvD3hNXRo00lk\nbSnsvNm91Wm4tNWfD4CoZPtw+siRI9WxY0fFxcWpXbt2euutt6xtgL9iKEOHRiY83G5p/nzp17+W\n8vPNY9nZ0qpV0gsvBJ6VbscpgFArrLV0WDyaJva1FNuZArCSpavWfRg5cqRx9OjRoO4b9mIvNTVm\n0ZPU1PpCJiUl5vWBAyNXHKSkxDA6d64voiIZxgMPhFZUJZQiLK0prhJqPfHW1h+PRHEZO7SV9wHA\nVoFyz/bhdMMwVFtba8+Lx8dLn3wirVzZcFvNw4el556LbM/J5QrfczV3Dra1w7vB7OXd+P4tHRYP\nx1anABBLrP1M0dTIkSON7OxsIzc311i/fn2z941o2VWrek6enqp3zzs72/z3hReC28mscanWdu3M\nMqPet3v3fO3YXjPU72db2kGM7UwBhEnUb0X63XffGYZhGJWVlcatt95qfPbZZ37v2yZC3DAM4733\n6oPXE8K/+U1wtb59hd3SpeZzFBX5Dw2rh3db8nrhrqluh7b0YQSA7aJ+K9ILLrhAkpSYmKhRo0Zp\n165dGjBggLWNaMnWmC2dvOV2SwsWSFu2SGlp5rEtW6R586QPP2xaGa0xX9tlPvyw1LevlJ5uXg91\nQli412e3dKvRtrCDGNuZArCQrefET548qerqaknSiRMn9NFHH+nyyy+3thGNa4R7Zkj7Wp/t/ZiW\nnmf2/JH3BLhkXv74Y6l9+4b3a+45gjnm3TZ/55rDvSSqJd/PtqYtfBgB4Ai29sSPHDmiBx98UC6X\nS263W5mZmfrFL35hbSNa0nNq7TKicP+Rb26ZnGQG6Nq15vtyu+tD9cMPzQ8O4VwSRU8UACxja4hf\ncsklKiwstLMJpmBCtfHw8vDh5m5jdq9pbtzzdbullBTpN7+ROnc2Z9kvXCjl5kpPPGHe7+OPpaee\nkoYNq595Hur67OaG4OmJAoAlbF9i5gj+hpynTrWrRfUaLwGLjzeXzFVUSHfeKWVlSXl50t13SzNn\nmvuVb91q/htsNTRfZV+pSgYAtrN9Ypsj+Bo+z8oy13pHw2YlniD23jL0rbfqe9aS9NJL0tKl9VXi\nvHvbnuH4oiLzg0lWllRYaN5eWtp0D/FwVSVjwxMAaBV64sFuVtF4E5Du3aVNm6yZvBVMG331joN9\nbs9wfFqa2Yt3uaT77zfruvsr1NLaTVHozQNAq8V2iLcmSJYvD76KmRVt9O4dL1tm9qY7dJDi4qSE\nBOmBB6RHHjH/TU2tn6HeeDh++HDzw8mePeaStUiNLrSVDU8AwE4Wr1tvlYgUewm2ulYkqnAFW9wk\nlNcuKqovspKaahaC6dzZMM47zzDuu69hURh/BUiCKdQSru8HNcYBwK+or9gWiohVbGsuSGpqmlbh\nClRVLRihVvYKNuy871dU5P+Ypw2+Hh8onMNZlYwQBwC/or5iW1TzDGU/+2z9UHlpqfToo+bGKd7D\n56FOyIrElpX+1os3fl1fl6Wmy9Wk+nP9jSe2hWMteEsruwEATBZ/qGgVW4bTG9+elFS/dan3BiOe\nXmgkeqKB2tjcaEFqamjD3lbVL6fGOAAExHB6c4INksZB6wnD1FRz5zHvkBw0yDBOn/b9Wr6OBQrx\nQG30vr3xh4rTp8190aM1KNvChicAEEFRv5+4rULdK1syh5w9y6v27JFmzDCHgSXz3zFjzEpo3jPH\n/c0w79tXuv325vfPDtRG72H5rVsbzvJu394c9rdiFn1LUNkNAFqFc+KBgsT7vK3bLWVkSIsXS9dc\nU3+fl182v5YuNcuZNj6v7e/8d0qKWZSlufPPwbSxubKpBCUAtFmEuOS/cpjUdKLX4sXS9OlSp05m\naP/2t9KPO7EpP99/3XFfQTt0KBuFAABaLLaH06Xmi6lITYeyp06VeveWjh0zQzs+3iyg4rFzZ/Cv\nHa5ecnNbjQIA2ix64qEu9YqPl1asMKuZSdL48dL69Wbd8V27zE1G+vZtuF+4FLnlVMEuCwMAtDmE\nuBTaVpylpebktZIS6exZ6aabzCH2tDTzq29fad488/Hea8g9QesZQvcOWqnlYcv+3QAQsxhOD0Xj\nXu+oUdKWLdIbb9SfQ09Lqw9mD0/QDh1aP3TvCdqtW1u/6QeT1wAgJhHiUvDnlP0t95LMMPbwFcyN\nl4OVlpr3Y9MPAEALMZwe6jllX9efey74c+qhDN0DANAMQtzTu/bmGeoOFsEMALABw+kewezZ3Zrz\n1t7Py3IwAEAYEOJS03PVxcVmZbYxY+qHxEtLpRtu8B3qxcXmY4uKzK/Ro81j3vfxXPYeuvf04GfP\nDs8HBABATGE43aPxkPill0qPP15fXjU7W7r44vr7e4rELFok5eRITzxhFoKRpDlzpKwsaeNGacGC\nhnXOWQ4GAAgTQtyf/HzpscfqQ71zZ2nlyoZ7ant67088IS1caAa7YZiXn3hCGjfOdx31xghwAEAL\nEOIeviqqjR8vvfSSef2JJ5pOVmvce/c2Y4b/CW7+arUT5gCAEHBOXPJ9rnrePGnVqvr7PP54eCag\nNVernfPiAIAQEOJS0yIubre0erWUkFA/i9wwpPvvbxi0nt770qXmcHtCgtShg9Sli7RkSdOZ557e\ntvckOu/9v+mJAwBCQIh7NA7QTp2kwsL6nnlhoXnMw9N7X7fO/Nq40ZwMd9ll0oYN5oS22bPrZ557\n97a9h+FHjAjPRigAgJjDOXFf4uOlTz5pGOxDh5plUr0ntn34YcMZ57t21d9WWGguUVu3rr68qr8q\nbi3BeXWL2dIUAAAQuUlEQVQAiHn0xP3xDkO321wjfs019cPjpaXm9RtuaPgYz+M8ve309Pre9tCh\n9Y9tTcEXzqsDAESIB8dTH/3gQXP997Jl5rrxsjLzuK8e8ZAh0s6d9cd27jSPnTnT+oIvnFcHAIjh\n9OANHy5t2mT2qvPzzWONl5B5hrPj482h9EceMSe9SeblF1+U2rdvfa12z2Oo1w4AMY2euIevXrDb\nXf/li3dP23s42+02z4W/+KIZ+Pn55uV16+qfq/FweDj2FQcAxBR64lL98Pezz9b3ZktLpUcfNZeW\n/fCDNGWKuVY8IcH8OnLEDOfaWunaaxtOXHO7zZ619x7j11xjlmX1DHd7hsOD2b7UF1/FaZjlDgCx\nxXCQ/fv3G7179zb2798f/icvKTGM5GTz38aXO3c2jPh4w7jgAsPo0MEwunQxjKVLDePSSw3DjHnz\nfp7nGTTIMIqKfD9f49f0PL6oqGmbamp8t7WmxnwN7+fzvK6/xwAAHCdQ7tET9xg+3BzubnyO2e02\nl4uNGCEdPtzwtr59zdnnUv3Q+ujR5vPMm9ewZ+yZvOZvs5OpU83a7N4jAf7uz0YqAABFwXD6hx9+\nqKefflqGYei2227TlClT7GmI212/C5mHJ0ifeqrp/UtLzclrRUXm+vDGk92GD28+ZBsPh2dnmzPf\nCwvN64GG163cSIU16QAQlWyd2FZbW6tFixbp97//vd5++22988472rdvnz2N2brVXDLWpYs5ozwr\nywzWMWOk3Fzz+KWXmmVVs7PNEqzz5plfffvWP49nYlpzIeurVvumTVL37tFXxY016QAQtWztiX/5\n5Ze67LLL1L17d0nSzTffrOLiYvXs2dPahnhC1dML9gypX3GF9Kc/meG6cqV5LDvbDHTDkJ58Uvrt\nb82gLykxn2fMmMAB7G84fPny+uH5aOG9Jr2lk/AAABFha4h/99136tatW931Cy+8ULs8pUut5B2q\n3j3OFSvqw9gTWJ614pI5lB7quW/v1/TmGZ6PxtnmrEkHgKhk+znxqOEJ8FCWbYVrglnj4XUp+A8D\nAICYZWuIX3jhhTp48GDd9e+++04XXHCBPY0JJkiDDflQQzfaZ5uzJh0AopKtE9v69u2rb7/9VmVl\nZTpz5ozeeecdpaWl2dOYxnuKSw2D1NdktFBrngd6/WCOWS3S7xsA0GK29sTj4+M1f/583XPPPTIM\nQ7fffrv1k9qCFe295UiJ1fcNAA5g+znxYcOGadiwYXY3w3/pVe/h9GjtLUdarL5vAIhytod41GAp\nFQDAYQhxbyylAgA4CFuRAgDgUIS4N89SqqIisxc+enR98RdmYgMAogwh7uFZSuXZgUyqX0pVXBz+\nWuG+nosPCgCAEBDiHp6lVGlp9RPcJHMHszFjzGPhmuDGpiIAgDBgYps3T0hHeoIbM+EBAGFAiNuF\nmfAAgFZiON0X71rhjSe4AQAQJQjxxqyqFc4HBQBAKzGc3pgVtcLZehQAEAaEuC+RrhXOpiIAgDBg\nON0ubCoCAGglQhwAAIcixAEAcChCnPKnAACHiu0Qp/wpAMDBYnt2OuVPAQAOFtshLlH+FADgWLE9\nnA4AgIMR4pQ/BQA4VGwPp1P+FADgYLEd4pQ/BQA4GMPplD8FADgUIQ4AgEMR4gAAOBQhDgCAQxHi\nAAA4FCEOAIBDEeIAADgUIQ4AgEMR4gAAOBQhDgCAQxHiAAA4FCEOAIBD2bYByooVK7RhwwYlJSVJ\nkvLz8zVs2DC7mgMAgOPYuovZxIkTNXHiRDubAACAY9k6nG4Yhp0vDwCAo9ka4q+//rqysrI0b948\nHT9+3M6mAADgOBEdTp84caKOHDnS5Hh+fr7Gjh2rBx54QC6XS0uXLtUzzzyjp59+utnnc7vdkqTy\n8vKItBcAgGjiyTtP/jUW0RD/n//5n6Dul5eXp/vuuy/g/SoqKiRJ48aNa1W7AABwkoqKCl122WVN\njts2sa2iokIpKSmSpPfff1+9e/cO+Jg+ffpo7dq1SklJUXx8fKSbCACArdxutyoqKtSnTx+ft7sM\nm2aXzZo1S3v27FFcXJy6d++uhQsXKjk52Y6mAADgSLaFOAAAaB0qtgEA4FCEOAAADkWIAwDgULaW\nXY0WI0eOVMeOHRUXF6d27drprbfesrtJaMbcuXNVWlqqpKQkbd68WZJ07Ngx5efnq6ysTD169NCy\nZcvUqVMnm1uKxnz97NhHwRnKy8s1a9YsVVZWKi4uTqNHj9avfvUrfvdsxsQ2SWlpadq4caO6dOli\nd1MQhM8//1wJCQmaNWtWXRAsXrxYXbt21eTJk7V69Wp9//33mjFjhs0tRWO+fnYrVqxQQkIC+yhE\nuYqKCh05ckSpqamqrq5Wbm6uVq5cqY0bN/K7ZyOG02XWcK+trbW7GQjSgAED1Llz5wbHiouLlZOT\nI0nKyclRUVGRHU1DAL5+dhL7KDhBSkqKUlNTJUkJCQnq2bOnvvvuO373bEaIS3K5XLrnnnt02223\nacOGDXY3By1QVVVVV2cgJSVFVVVVNrcIoWAfBWc5cOCAvvrqK1199dWqrKzkd89GhLikN954QwUF\nBfrv//5vrV27Vp9//rndTUIruVwuu5uAII0dO1bFxcUqLCxUcnKynnnmGbubhGZUV1dr2rRpmjt3\nrhISEpr8rvG7Zy1CXNIFF1wgSUpMTNSoUaO0a9cum1uEUCUlJdVttlNRUaHExESbW4RgJSYm1v3h\nz8vL4/cvitXU1GjatGnKyspSenq6JH737BbzIX7y5ElVV1dLkk6cOKGPPvpIl19+uc2tQiCNz6GO\nHDlSGzdulCQVFBQoLS3NjmYhCI1/dp6NjaTg91GAPebOnatevXppwoQJdcf43bNXzM9O379/vx58\n8EG5XC653W5lZmZqypQpdjcLzZg+fbq2b9+uo0ePKjk5WVOnTlV6eroeeughHTp0SN27d9eyZct8\nTqCCvXz97LZv384+Cg6wY8cO3XXXXerdu7dcLpdcLpfy8/N11VVX6eGHH+Z3zyYxH+IAADhVzA+n\nAwDgVIQ4AAAORYgDAOBQhDgAAA5FiAMA4FCEOAAADkWII+aMHDlSN910k7KyspSZmam//OUvEXut\n8ePH64MPPgh4v9dee61Bzel169bptddei1i7GpszZ44yMzP1yCOP+Lz9tdde0y233KLMzEzl5uZq\nwYIF+uGHH7R7927NnDlTknT8+HG9+uqrLXr93/72t9qxY0fIj5sxY4aGDh2qK664QidPnmxw286d\nO5WVlaWMjAxNmjTJb03v2tpaPfHEExo1apRuvPFGvfnmm62+DbCMAcSYESNGGHv37jUMwzD+8Y9/\nGFdddZXx73//OyKvdddddxmlpaVBtemf//xnRNoQSEVFhXHttdf6vf3FF180xo0bZ1RWVtYde//9\n9439+/c3uN/+/fuNQYMGRaydvmzbts2orKw0rrjiCuPEiRN1x2tra41Ro0YZf//73w3DMIyVK1ca\nc+bM8fkcBQUFxqRJkwzDMIzKykpj2LBhRllZWatuA6xCTxwxyfixxlFqaqoSEhJ04MAB1dbW6rnn\nnlNmZqYyMzP13HPP1d1vzpw5mj9/vsaMGaOMjAzNnz9fNTU1kpr2tv31vt9++23l5eUpNzdXubm5\n2rZtmyRp1apVOnz4sKZNm6acnBzt27dPK1as0HPPPSdJAdv12GOPacKECbrxxhs1e/Zsv+9506ZN\nyszMVFZWlqZOnaqqqipVV1drwoQJOn36tHJycpr0/k+cOKE1a9boqaeealATOz09XT169NCnn36q\n2267TZK0aNEi/fDDD8rJydGdd96pXbt2KTMzs8HzZWVlaefOnU3a5v09C+U9DRo0SImJiU1Kue7e\nvVvnnnuu+vXrJ0kaM2aM3n33XZ/P8e677yovL0+SWcc9PT1dW7ZsadVt69ev10033aScnBxlZWXp\nm2++8fsegNZoZ3cDADtt27ZNZ86c0U9/+lOtW7dOX3/9tTZt2iTDMHTvvfdq/fr1GjNmjCTpyy+/\n1Pr169W+fXtNnjxZ69ev17hx44J+raFDh+qWW26RJH3zzTe6++679cEHH+i+++7Thg0btHz5cvXs\n2bPu/p5NQQK1a+/evVqzZo0kcz/nv/3tbxo8eHCD1/7nP/+pJUuWaNOmTUpKStLvfvc7LVq0SEuX\nLtXq1at1++23q6CgoEmb9+7dq3PPPVeXXXaZ3/flaeeCBQuaPE9CQoI+//xzDRgwQJ9//rni4+N1\nzTXXBPxeBfOemuMpAerxk5/8RJL0/fffNykJevDgQV188cV117t166ZDhw616rbFixdry5YtSk5O\n1tmzZ1VbWxt024FQ0BNHTPL0el966SUtX75cHTt21LZt25STk6P4+Hi1a9dOubm5+uSTT+oec9NN\nN+m8885TXFycsrOztX379pBe81//+pcmTZqkW265Rfn5+aqsrFRlZWXd7Y17kx6B2pWenq5zzjlH\n55xzjq688kp9++23TZ5j+/btGj58uJKSkiSZPVPv54iUu+66S2vXrpUk/elPf9LYsWODelww7ylU\n/r6/kTB48GA9+uijev3111VeXq5zzz3XstdGbCHEEZOWL1+ugoIC/fGPfwyph+dLu3btGvS0zpw5\n4/N+06dP17hx4/T222+roKBAcXFxOn36dKteW5Lat29fdzk+Pr5umL85hmEEte9zr169dPr0af3r\nX/9qUdsyMjL0xRdfaM+ePfr000+bDK/7E+p7avxeunXrprKysrrrVVVViouL87kxx8UXX6yDBw/W\nXT906JC6devWqtuWL1+uhx9+WCdPntSECRO0devWgO8ZaAlCHDHJV69s8ODB2rRpk2pqanT27Flt\n2rRJv/jFL+pu37Jli06dOqWamhoVFhbq+uuvlyRdeumldXtg7927V3v27PH5msePH68b4n3rrbd0\n9uzZuts6deqk48eP+3xcoHYFY9CgQfrggw/qev4bNmzQkCFD6m7310vt0KGD7r77bs2fP7/B7O6i\noiIdOHCgwX07duyoU6dONfhA4xk5+M1vfqPMzMyI9Ugbt79Pnz46ffq0/v73v0syT0lkZGTU3X73\n3XfX/cwyMjK0YcMGGYahqqoqFRcX68Ybb2zxbW63W/v371ffvn01efJkDRkyxO//CaC1OCeOmOOv\nB3rHHXfo22+/VU5OjiTzHPbo0aPrbu/bt68mTpyoqqoqDRo0qG5S07333quHHnpIRUVF+vnPf64r\nr7zS52vNmTNH999/v7p06aKhQ4eqa9eudbfdddddmj17tjp06KAXXnghpHYF4/LLL9f06dN19913\nKy4uTpdccokWLlwY8HsiSfn5+VqzZo3Gjx8vl8slwzDUv39/XX/99Q16ol26dFFmZqZuueUWdenS\nRW+88YYkafTo0Vq5cmWzQ+nBjAr4MnXqVH355ZdyuVzKyMjQ5ZdfrldffVUul0vPP/+85s+frzNn\nzqhHjx5avHixJHOi4Ndff62LLrpIkjnZ7osvvtB//ud/yuVy6YEHHqj7sNWS286cOaPZs2fr+PHj\ncrlc6tatm2bMmNGi9wcEwlakQBDmzJmjPn36hDSRDabCwkK9++67WrVqld1NkST94x//0BtvvKFF\nixbZ3RSg1eiJA4iYSZMm6cCBA1q5cqXdTalz5ZVXEuBoM+iJAwDgUExsAwDAoQhxAAAcihAHAMCh\nCHEAAByKEAcAwKEIcQAAHOr/AzVZYBemhDr+AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x6c134510>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X[:,1], y, s=30, c='r', marker='x', linewidths=1)\n",
    "plt.xlim(4,24)\n",
    "plt.xlabel('Population of City in 10,000s')\n",
    "plt.ylabel('Profit in $10,000s');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Gradient Descent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def computeCost(X, y, theta=[[0],[0]]):\n",
    "    m = y.size\n",
    "    J = 0\n",
    "    \n",
    "    h = X.dot(theta)\n",
    "    \n",
    "    J = 1/(2*m)*np.sum(np.square(h-y))\n",
    "    \n",
    "    return(J)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "32.072733877455676"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "computeCost(X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def gradientDescent(X, y, theta=[[0],[0]], alpha=0.01, num_iters=1500):\n",
    "    m = y.size\n",
    "    J_history = np.zeros(num_iters)\n",
    "    \n",
    "    for iter in np.arange(num_iters):\n",
    "        h = X.dot(theta)\n",
    "        theta = theta - alpha*(1/m)*(X.T.dot(h-y))\n",
    "        J_history[iter] = computeCost(X, y, theta)\n",
    "    return(theta, J_history)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "theta:  [-3.63029144  1.16636235]\n"
     ]
    },
    {
     "data": {
      "image/png": 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278nVti8L9ObqA3pz9QG1iQjSf/VO0KCecerfvZ1CgwM8XTYAtDjCHz4pOiKo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\nAH7m/weIcz3Ct7woAQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x6bf50f50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# theta for minimized cost J\n",
    "theta , Cost_J = gradientDescent(X, y)\n",
    "print('theta: ',theta.ravel())\n",
    "\n",
    "plt.plot(Cost_J)\n",
    "plt.ylabel('Cost J')\n",
    "plt.xlabel('Iterations');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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mVwSveKPav0ciIp5UvUPcU7WyC+v9u4bQPbz0Kik5jc/if+KHpLVY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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x6bfaba70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xx = np.arange(5,23)\n",
    "yy = theta[0]+theta[1]*xx\n",
    "\n",
    "# Plot gradient descent\n",
    "plt.scatter(X[:,1], y, s=30, c='r', marker='x', linewidths=1)\n",
    "plt.plot(xx,yy, label='Linear regression (Gradient descent)')\n",
    "\n",
    "# Compare with Scikit-learn Linear regression \n",
    "regr = LinearRegression()\n",
    "regr.fit(X[:,1].reshape(-1,1), y.ravel())\n",
    "plt.plot(xx, regr.intercept_+regr.coef_*xx, label='Linear regression (Scikit-learn GLM)')\n",
    "\n",
    "plt.xlim(4,24)\n",
    "plt.xlabel('Population of City in 10,000s')\n",
    "plt.ylabel('Profit in $10,000s')\n",
    "plt.legend(loc=4);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 4519.7678677]\n",
      "[ 45342.45012945]\n"
     ]
    }
   ],
   "source": [
    "# Predict profit for a city with population of 35000 and 70000\n",
    "print(theta.T.dot([1, 3.5])*10000)\n",
    "print(theta.T.dot([1, 7])*10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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p9GdStVqtP0A0mUxYLBYiIiKIiIjAarViNpsxGo1hW1qYe/gw37zxD6IDsl8Z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\n6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PdoBUX5DSz46QzzMTZVNdHX0Er4+ADARE1pE4c2ZXPfS8nm+VLOvgskzA03v6f8YiU5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wfY37agfD6D3W8R8u2loeVezOaSgclQf6mv7jSBisdG6Gt/EYdjNu6Ky5ElmaH+NXjqri4T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\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4BVQaGpycPl3eJBgauXatzvW4Uqlg0KBgYmNvbyMVVUhbXlud74XW4XQ6SUpKIj8/nyef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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x6bfcb090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create grid coordinates for plotting\n",
    "B0 = np.linspace(-10, 10, 50)\n",
    "B1 = np.linspace(-1, 4, 50)\n",
    "xx, yy = np.meshgrid(B0, B1, indexing='xy')\n",
    "Z = np.zeros((B0.size,B1.size))\n",
    "\n",
    "# Calculate Z-values (Cost) based on grid of coefficients\n",
    "for (i,j),v in np.ndenumerate(Z):\n",
    "    Z[i,j] = computeCost(X,y, theta=[[xx[i,j]], [yy[i,j]]])\n",
    "\n",
    "fig = plt.figure(figsize=(15,6))\n",
    "ax1 = fig.add_subplot(121)\n",
    "ax2 = fig.add_subplot(122, projection='3d')\n",
    "\n",
    "# Left plot\n",
    "CS = ax1.contour(xx, yy, Z, np.logspace(-2, 3, 20), cmap=plt.cm.jet)\n",
    "ax1.scatter(theta[0],theta[1], c='r')\n",
    "\n",
    "# Right plot\n",
    "ax2.plot_surface(xx, yy, Z, rstride=1, cstride=1, alpha=0.6, cmap=plt.cm.jet)\n",
    "ax2.set_zlabel('Cost')\n",
    "ax2.set_zlim(Z.min(),Z.max())\n",
    "ax2.view_init(elev=15, azim=230)\n",
    "\n",
    "# settings common to both plots\n",
    "for ax in fig.axes:\n",
    "    ax.set_xlabel(r'$\\theta_0$', fontsize=17)\n",
    "    ax.set_ylabel(r'$\\theta_1$', fontsize=17)"
   ]
  }
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